TSTP Solution File: GRP104-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP104-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LoksP2D9LR true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:56 EDT 2023
% Result : Unsatisfiable 5.11s 1.37s
% Output : Refutation 5.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP104-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LoksP2D9LR true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:46:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.11/1.37 % Solved by fo/fo6_bce.sh.
% 5.11/1.37 % BCE start: 3
% 5.11/1.37 % BCE eliminated: 0
% 5.11/1.37 % PE start: 3
% 5.11/1.37 logic: eq
% 5.11/1.37 % PE eliminated: 0
% 5.11/1.37 % done 208 iterations in 0.633s
% 5.11/1.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.11/1.37 % SZS output start Refutation
% 5.11/1.37 thf(b3_type, type, b3: $i).
% 5.11/1.37 thf(inverse_type, type, inverse: $i > $i).
% 5.11/1.37 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.11/1.37 thf(b1_type, type, b1: $i).
% 5.11/1.37 thf(a4_type, type, a4: $i).
% 5.11/1.37 thf(a3_type, type, a3: $i).
% 5.11/1.37 thf(a2_type, type, a2: $i).
% 5.11/1.37 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 5.11/1.37 thf(a1_type, type, a1: $i).
% 5.11/1.37 thf(b2_type, type, b2: $i).
% 5.11/1.37 thf(b4_type, type, b4: $i).
% 5.11/1.37 thf(c3_type, type, c3: $i).
% 5.11/1.37 thf(prove_these_axioms, conjecture,
% 5.11/1.37 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 5.11/1.37 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.11/1.37 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.11/1.37 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.11/1.37 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.11/1.37 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 5.11/1.37 thf(zf_stmt_0, negated_conjecture,
% 5.11/1.37 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 5.11/1.37 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.11/1.37 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.11/1.37 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.11/1.37 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.11/1.37 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 5.11/1.37 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 5.11/1.37 thf(zip_derived_cl2, plain,
% 5.11/1.37 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 5.11/1.37 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 5.11/1.37 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 5.11/1.37 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.11/1.37 thf(multiply, axiom,
% 5.11/1.37 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(single_axiom, axiom,
% 5.11/1.37 (( double_divide @
% 5.11/1.37 X @
% 5.11/1.37 ( inverse @
% 5.11/1.37 ( double_divide @
% 5.11/1.37 ( inverse @
% 5.11/1.37 ( double_divide @ ( double_divide @ X @ Y ) @ ( inverse @ Z ) ) ) @
% 5.11/1.37 Y ) ) ) =
% 5.11/1.37 ( Z ))).
% 5.11/1.37 thf(zip_derived_cl0, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((double_divide @ X1 @
% 5.11/1.37 (inverse @
% 5.11/1.37 (double_divide @
% 5.11/1.37 (inverse @
% 5.11/1.37 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 5.11/1.37 X2)))
% 5.11/1.37 = (X0))),
% 5.11/1.37 inference('cnf', [status(esa)], [single_axiom])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl3, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((double_divide @ X1 @
% 5.11/1.37 (multiply @ X2 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 5.11/1.37 = (X0))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl5, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X1 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 5.11/1.37 X2) = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl3, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((double_divide @ X1 @
% 5.11/1.37 (multiply @ X2 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 5.11/1.37 = (X0))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl3, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((double_divide @ X1 @
% 5.11/1.37 (multiply @ X2 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 5.11/1.37 = (X0))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl4, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.11/1.37 ((double_divide @ X3 @
% 5.11/1.37 (multiply @
% 5.11/1.37 (multiply @ X2 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X3 @ X2))) @
% 5.11/1.37 (multiply @ (inverse @ X1) @ X0)))
% 5.11/1.37 = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 5.11/1.37 thf(zip_derived_cl15, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((double_divide @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0))
% 5.11/1.37 = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl20, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 5.11/1.37 = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl20, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 5.11/1.37 = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl27, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ (multiply @ (inverse @ X0) @ X1)) @
% 5.11/1.37 (inverse @ X0)) = (inverse @ X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl20])).
% 5.11/1.37 thf(zip_derived_cl15, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((double_divide @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0))
% 5.11/1.37 = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 5.11/1.37 thf(zip_derived_cl32, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 5.11/1.37 = (multiply @ (inverse @ X1) @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 5.11/1.37 thf(zip_derived_cl54, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((double_divide @ (inverse @ X2) @ (inverse @ (multiply @ X1 @ X0)))
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X0) @ X2))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl32])).
% 5.11/1.37 thf(zip_derived_cl20, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 5.11/1.37 = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl15, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((double_divide @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0))
% 5.11/1.37 = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 5.11/1.37 thf(zip_derived_cl26, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((double_divide @ (inverse @ X0) @
% 5.11/1.37 (inverse @ (multiply @ (inverse @ X0) @ X1))) = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl15])).
% 5.11/1.37 thf(zip_derived_cl919, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl26])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl5, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X1 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 5.11/1.37 X2) = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl5, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X1 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 5.11/1.37 X2) = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl20, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 5.11/1.37 = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl29, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X2) @ (multiply @ (multiply @ X1 @ X0) @ X2))
% 5.11/1.37 = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 5.11/1.37 thf(zip_derived_cl44, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X2) @ (inverse @ X0))
% 5.11/1.37 = (multiply @ X1 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl29])).
% 5.11/1.37 thf(zip_derived_cl418, plain,
% 5.11/1.37 (![X0 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ (inverse @ X2) @ (inverse @ X0)) @ X2)
% 5.11/1.37 = (inverse @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl44])).
% 5.11/1.37 thf(zip_derived_cl508, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ (inverse @ X2) @ (multiply @ X1 @ X0)) @ X2)
% 5.11/1.37 = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl418])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl5, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X1 @
% 5.11/1.37 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 5.11/1.37 X2) = (inverse @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl18, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X3 @
% 5.11/1.37 (multiply @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X3))) @
% 5.11/1.37 X2) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 5.11/1.37 thf(zip_derived_cl567, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X2 @ X1) @
% 5.11/1.37 (double_divide @ X0 @ (inverse @ X0))) = (multiply @ X2 @ X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl18])).
% 5.11/1.37 thf(zip_derived_cl968, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((X0)
% 5.11/1.37 = (multiply @ (inverse @ (double_divide @ X1 @ (inverse @ X1))) @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl919, zip_derived_cl567])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl986, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl968, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1262, plain,
% 5.11/1.37 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 5.11/1.37 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 5.11/1.37 | ((a2) != (a2))
% 5.11/1.37 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl1263, plain,
% 5.11/1.37 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 5.11/1.37 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 5.11/1.37 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 5.11/1.37 inference('simplify', [status(thm)], [zip_derived_cl1262])).
% 5.11/1.37 thf(zip_derived_cl986, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl968, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl29, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X2) @ (multiply @ (multiply @ X1 @ X0) @ X2))
% 5.11/1.37 = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 5.11/1.37 thf(zip_derived_cl1287, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl29])).
% 5.11/1.37 thf(zip_derived_cl1415, plain,
% 5.11/1.37 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 5.11/1.37 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 5.11/1.37 inference('simplify_reflect+', [status(thm)],
% 5.11/1.37 [zip_derived_cl1263, zip_derived_cl1287])).
% 5.11/1.37 thf(zip_derived_cl986, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl968, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl919, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl26])).
% 5.11/1.37 thf(zip_derived_cl18, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.11/1.37 ((multiply @
% 5.11/1.37 (multiply @ X3 @
% 5.11/1.37 (multiply @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X3))) @
% 5.11/1.37 X2) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 5.11/1.37 thf(zip_derived_cl966, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 5.11/1.37 = (multiply @ (inverse @ (double_divide @ X2 @ X1)) @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl919, zip_derived_cl18])).
% 5.11/1.37 thf(zip_derived_cl1, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 5.11/1.37 inference('cnf', [status(esa)], [multiply])).
% 5.11/1.37 thf(zip_derived_cl984, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1276, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X0 @ X1)
% 5.11/1.37 = (multiply @ (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1) @
% 5.11/1.37 X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl984])).
% 5.11/1.37 thf(zip_derived_cl986, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]:
% 5.11/1.37 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl968, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl1491, plain,
% 5.11/1.37 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 5.11/1.37 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl1415, zip_derived_cl1305, zip_derived_cl1305])).
% 5.11/1.37 thf(zip_derived_cl1492, plain,
% 5.11/1.37 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.11/1.37 inference('simplify', [status(thm)], [zip_derived_cl1491])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl984, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1536, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)],
% 5.11/1.37 [zip_derived_cl1305, zip_derived_cl984])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl2491, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 5.11/1.37 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 5.11/1.37 inference('s_sup+', [status(thm)],
% 5.11/1.37 [zip_derived_cl1536, zip_derived_cl1305])).
% 5.11/1.37 thf(zip_derived_cl2984, plain,
% 5.11/1.37 (((multiply @ b3 @ (multiply @ a3 @ c3))
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl1492, zip_derived_cl2491])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl984, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl1])).
% 5.11/1.37 thf(zip_derived_cl1562, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 5.11/1.37 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 5.11/1.37 inference('s_sup+', [status(thm)],
% 5.11/1.37 [zip_derived_cl1305, zip_derived_cl984])).
% 5.11/1.37 thf(zip_derived_cl1536, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 5.11/1.37 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 5.11/1.37 inference('s_sup+', [status(thm)],
% 5.11/1.37 [zip_derived_cl1305, zip_derived_cl984])).
% 5.11/1.37 thf(zip_derived_cl2840, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 5.11/1.37 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl1562, zip_derived_cl1536])).
% 5.11/1.37 thf(zip_derived_cl1305, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 5.11/1.37 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl986])).
% 5.11/1.37 thf(zip_derived_cl2842, plain,
% 5.11/1.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.11/1.37 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 5.11/1.37 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 5.11/1.37 inference('s_sup+', [status(thm)],
% 5.11/1.37 [zip_derived_cl2840, zip_derived_cl1305])).
% 5.11/1.37 thf(zip_derived_cl3365, plain,
% 5.11/1.37 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 5.11/1.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 5.11/1.37 inference('demod', [status(thm)],
% 5.11/1.37 [zip_derived_cl2984, zip_derived_cl2842])).
% 5.11/1.37 thf(zip_derived_cl3366, plain, ($false),
% 5.11/1.37 inference('simplify', [status(thm)], [zip_derived_cl3365])).
% 5.11/1.37
% 5.11/1.37 % SZS output end Refutation
% 5.11/1.37
% 5.11/1.37
% 5.11/1.37 % Terminating...
% 5.99/1.46 % Runner terminated.
% 5.99/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------